Results 241 to 250 of about 196,247 (278)
On Adjacency and e-Adjacency in General Hypergraphs: Towards a New e-Adjacency Tensor [PDF]
Electronic Notes in Discrete Mathematics, 2018 In graphs, the concept of adjacency is clearly defined: it is a pairwise relationship between vertices. Adjacency in hypergraphs has to integrate hyperedge multi-adicity: the concept of adjacency needs to be defined properly by introducing two new concepts: $k$-adjacency - $k$ vertices are in the same hyperedge - and e-adjacency - vertices of a given ...
Stéphane Marchand-Maillet
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Adjacency preserving maps between tensor spaces
Linear Algebra and Its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wai Leong Chooi
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The cyclic index of adjacency tensor of generalized power hypergraphs [PDF]
Discrete Mathematics, 2021 Let $G$ be a $t$-uniform hypergraph, and let $c(G)$ denote the cyclic index of the adjacency tensor of $G$. Let $m,s,t$ be positive integers such that $t \ge 2$, $s \ge 2$ and $m=st$. The generalized power $G^{m,s}$ of $G$ is obtained from $G$ by blowing up each vertex into an $s$-set and preserving the adjacency relation. It was conjectured that $c(G^{
Yi-Zheng Fan
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On Spectral Hypergraph Theory of the Adjacency Tensor [PDF]
Graphs and Combinatorics, 2013 We study both $H$ and $E/Z$-eigenvalues of the adjacency tensor of a uniform multi-hypergraph and give conditions for which the largest positive $H$ or $Z$-eigenvalue corresponds to a strictly positive eigenvector. We also investigate when the $E$-spectrum of the adjacency tensor is symmetric.
Tan Zhang
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Sub-hypergraph matching based on adjacency tensor
Computer Vision and Image Understanding, 2019Abstract Point correspondence problem is an important problem in pattern recognition and computer vision, which can be solved by graph matching. Recently, high order graph matching methods have attracted much attention due to their robustness to geometric transformations.
Xu Yang, Zhiyong Liu, Zhang-Bing Zhou
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On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs
Linear Algebra and Its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
An Chang
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Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices [PDF]
Frontiers of Mathematics in China, 2020 arXiv admin note: substantial text overlap with arXiv:1902 ...
Fan, Yizheng, Zhu, Zhu, Wang, Yi
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Permeability tensor for a metamaterial adjacent to a metal
Applied Physics A, 2016In our work, we investigate magnetic properties of metamaterial–metal interface with the help of the local field theory combined with the method of images. Proceeding from microscopic description of the substance and calculating its macroscopic properties, for the first time the modified Clausius–Mossotti relation has been obtained for permeability of ...
Olga V. Porvatkina +2 more
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Adjacency preserving maps on symmetric tensors
Linear Algebra and Its ApplicationsLet \(\mathfrak S^r(U)\) denote the vector space of all \(r\)-symmetric tensors of a vector space \(U\) over a field \(F\). The \textit{symmetric rank} of an element \(A \in \mathfrak S^r(U)\), denoted by \(\text{rank}_S(A)\), is the minimal positive integer for which \(A\) may be expressed as a linear combination of symmetric tensors of the form \(u ...
Wai Leong Chooi
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Scalable Tensor Methods for Nonuniform Hypergraphs
SIAM Journal on Mathematics of Data ScienceWhile multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and practical barriers. A recently proposed adjacency tensor is applicable to
Stephen Young, Ilya Amburg
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